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Finding the Fourth Proportional to 6,546.74, 9,820.11 and 4,607.60

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Solution

The fourth proportional to 6,546.74, 9,820.11 and 4,607.60 is: 6,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.74 : 9,820.11 = 4,607.60 : x
  2. Step 2: Convert to fraction form
    6,546.74/9,820.11 = 4,607.60/x
  3. Step 3: Cross multiply
    6,546.74x = 9,820.11 × 4,607.60
  4. Step 4: Simplify right side
    6,546.74x = 45,247,089.74
  5. Step 5: Solve for x
    x = 45,247,089.74/6,546.74
  6. Step 6: Final answer
    x = 6,911.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.